P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(A∩C)-P(C∩B)+P(ABC)=3p-3p^2P(A∪B)=P(A)+P(B)-P(A∩B)=2p-p^2因为 P(A∪B∪C)≥P(A∪B) 故3p-3p^2≥2p-p^2 解得p≤1/2